Manifoldic homology and Chern-Simons formalism

preprint2013arXivOpen access

Abstract

The aim of this note is to define for any ene_n-algebra AA and a compact parallelizable n-manifold MM without borders a morphism from the homology of homotopy Lie algebra A[n−1]A[n-1] to the topological chiral homology of MM with coefficients in AA. This map plays a crucial role in the perturbative Chern-Simons theory.

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